Solve the problem.
-Of the 69 people who answered ʺyesʺ to a question, 10 were male. Of the 64 people who answered ʺnoʺ to the question, 13 were male. If one person is selected at random from the group, what is the Probability that the person answered ʺyesʺ or was male? Round to the nearest thousandth when Necessary.
A) 0.145
B) 0.617
C) 0.173
D) 0.692

Question

Solve the problem.
-Of the 69 people who answered ʺyesʺ to a question, 10 were male. Of the 64 people who answered ʺnoʺ to the question, 13 were male. If one person is selected at random from the group, what is the Probability that the person answered ʺyesʺ or was male? Round to the nearest thousandth when Necessary.
A) 0.145
B) 0.617
C) 0.173
D) 0.692

Quizplus · Accepted Answer

The total number of people is 69 (who answered "yes") + 64 (who answered "no") = 133. The number of males is 10 (who answered "yes") + 13 (who answered "no") = 23. The probability of selecting someone who answered "yes" is 69/133. The probability of selecting a male is 23/133. However, since males who answered "yes" are counted in both groups, we subtract the probability of selecting a male who answered "yes" to avoid double counting, which is 10/133. Therefore, the combined probability is (69/133) + (23/133) - (10/133) = 82/133 ≈ 0.617.

Solve the Problem. -Of the 69 People Who Answered ʺYesʺ to a Question